// SPDX-License-Identifier: LGPL-3.0-or-later
#include <gtest/gtest.h>

#include <iostream>
#include <vector>

#include "device.h"
#include "tabulate.h"
#include "utilities.h"

class TestTabulateSeT : public ::testing::Test {
 protected:
  // em_x = tf.random.uniform([4, 16], minval=0, maxval=0.2, dtype = tf.float64)
  std::vector<double> info = {-2.1000000000000000e+01, 2.1000000000000000e+01,
                              1.0500000000000000e+02,  1.0000000000000000e+00,
                              1.0000000000000000e+01,  -1.0000000000000000e+00};
  std::vector<double> em_x = {
      9.3816147034272368e-01,  -1.6703373029862567e-01, -4.4294526064601734e-02,
      -2.8798505489184573e-01, -1.6703373029862567e-01, 9.2489218226366088e-01,
      -2.8928196536572048e-01, -4.7833509099876154e-01, -4.4294526064601734e-02,
      -2.8928196536572048e-01, 5.7034320185695120e-01,  1.8771147911830000e-01,
      -2.8798505489184573e-01, -4.7833509099876154e-01, 1.8771147911830000e-01,
      4.0174654365823070e-01,  8.4370316144902313e-01,  -3.7813146789689916e-02,
      -3.6989397568296523e-01, -4.0554075086539937e-01, -3.7813146789689916e-02,
      6.5766402633747112e-01,  -4.2312966361682885e-01, 1.2685067374257861e-01,
      -3.6989397568296523e-01, -4.2312966361682885e-01, 6.0171576901660107e-01,
      9.8283160997298613e-02,  -4.0554075086539937e-01, 1.2685067374257861e-01,
      9.8283160997298613e-02,  2.1324148100625978e-01,  9.7843596341516559e-01,
      -1.0492833888237871e-01, -1.0538688914576379e-01, -2.0453551592353389e-01,
      -1.0492833888237871e-01, 7.7943976693565231e-01,  -1.5898500035781410e-01,
      9.4834209331437741e-02,  -1.0538688914576379e-01, -1.5898500035781410e-01,
      7.4778071691708869e-01,  -6.1895255142095873e-01, -2.0453551592353389e-01,
      9.4834209331437741e-02,  -6.1895255142095873e-01, 6.0844713798743799e-01,
      1.0079020879244640e+00,  -2.3855984150631487e-01, -3.4608276043004524e-02,
      -4.7448768267289088e-01, -2.3855984150631487e-01, 4.9732018171028253e-01,
      -3.1320787082485729e-01, -1.4528004145602180e-01, -3.4608276043004524e-02,
      -3.1320787082485729e-01, 4.7696729363954582e-01,  1.1723268074231248e-01,
      -4.7448768267289088e-01, -1.4528004145602180e-01, 1.1723268074231248e-01,
      4.0511515406019899e-01,  6.9317482874286218e-01,  3.8721526993960850e-02,
      -1.4829415254252801e-01, 1.9079858574793401e-01,  3.8721526993960850e-02,
      4.0694636061668399e-01,  -1.6669745680958750e-01, -2.9455183336619600e-01,
      -1.4829415254252801e-01, -1.6669745680958750e-01, 3.5115749833010762e-01,
      2.7972274527006624e-02,  1.9079858574793401e-01,  -2.9455183336619600e-01,
      2.7972274527006624e-02,  2.9261590797274251e-01,  1.0547679530528609e+00,
      -7.5579498870314032e-01, -2.5907966401834215e-01, 2.4868586817732710e-01,
      -7.5579498870314032e-01, 7.7943976693565231e-01,  -2.7840391808748116e-02,
      -1.2197364072902048e-02, -2.5907966401834215e-01, -2.7840391808748116e-02,
      2.9514791871283574e-01,  -1.4724344774699041e-01, 2.4868586817732710e-01,
      -1.2197364072902048e-02, -1.4724344774699041e-01, 2.7333766016385419e-01,
      7.1494810971572931e-01,  -3.8965690625377569e-01, -2.0579233200987346e-01,
      1.5638053130676866e-01,  -3.8965690625377569e-01, 5.7034320185695120e-01,
      -2.4759451701376567e-01, 1.7075608253389668e-01,  -2.0579233200987346e-01,
      -2.4759451701376567e-01, 4.4489736273181785e-01,  -3.3903230422862907e-01,
      1.5638053130676866e-01,  1.7075608253389668e-01,  -3.3903230422862907e-01,
      2.7328888249045513e-01,  8.2256346358859145e-01,  -3.0201999278197073e-01,
      -1.0847299712994765e-01, -3.3355086180245408e-01, -3.0201999278197073e-01,
      6.2584346461620799e-01,  -2.3661062787307036e-02, 2.5559368174587482e-02,
      -1.0847299712994765e-01, -2.3661062787307036e-02, 6.2471079378938721e-01,
      -3.9923912886685187e-01, -3.3355086180245408e-01, 2.5559368174587482e-02,
      -3.9923912886685187e-01, 4.9732018171028253e-01,  7.4300380743635475e-01,
      -4.4058918654051710e-01, -2.5375568912718455e-01, 5.6029289688609013e-02,
      -4.4058918654051710e-01, 4.3025970692640908e-01,  -1.0172468432781301e-02,
      -1.2941908849275471e-01, -2.5375568912718455e-01, -1.0172468432781301e-02,
      4.2845986148404269e-01,  -1.7460159217638957e-01, 5.6029289688609013e-02,
      -1.2941908849275471e-01, -1.7460159217638957e-01, 3.8138264541081690e-01,
      7.4620920788925238e-01,  -1.6424881399213448e-01, -2.2361648073503249e-01,
      -4.0424642786821852e-01, -1.6424881399213448e-01, 6.6730350814323314e-01,
      -2.1317459925340326e-01, 1.9376435628360764e-01,  -2.2361648073503249e-01,
      -2.1317459925340326e-01, 5.8089947575573275e-01,  -1.0277026325170427e-01,
      -4.0424642786821852e-01, 1.9376435628360764e-01,  -1.0277026325170427e-01,
      3.1673915325970592e-01,  9.3159182283013242e-01,  2.7352164674733859e-01,
      -3.0194015433346399e-01, -1.6581739923723970e-01, 2.7352164674733859e-01,
      8.7811025837608414e-01,  -5.3657994020118693e-01, -1.4168666065928759e-02,
      -3.0194015433346399e-01, -5.3657994020118693e-01, 5.7772908002379919e-01,
      -2.6766718990342830e-01, -1.6581739923723970e-01, -1.4168666065928759e-02,
      -2.6766718990342830e-01, 4.3044918224444273e-01,  7.5776646946384441e-01,
      -2.8544634168978411e-01, -4.6917826735271817e-01, 9.0648108100258265e-02,
      -2.8544634168978411e-01, 6.3333781479517670e-01,  -1.5635743535006455e-01,
      -3.2225585549698127e-01, -4.6917826735271817e-01, -1.5635743535006455e-01,
      5.8894646017949193e-01,  -4.7549586643753167e-02, 9.0648108100258265e-02,
      -3.2225585549698127e-01, -4.7549586643753167e-02, 5.1470686148396338e-01,
      8.9120731219577032e-01,  -4.8913932884415684e-01, -2.8535162253723745e-01,
      -3.9481172797096048e-01, -4.8913932884415684e-01, 6.8161288899055572e-01,
      5.3745624046182272e-02,  -9.6415050020146331e-03, -2.8535162253723745e-01,
      5.3745624046182272e-02,  3.7216282686452884e-01,  1.8327616930599899e-01,
      -3.9481172797096048e-01, -9.6415050020146331e-03, 1.8327616930599899e-01,
      2.9889755032428134e-01,  6.6730350814323314e-01,  -1.9772856508212072e-01,
      -1.3214864503616511e-01, 1.9656713013350754e-01,  -1.9772856508212072e-01,
      6.4107564273521156e-01,  -3.6750949174506781e-01, -2.1514707877261979e-01,
      -1.3214864503616511e-01, -3.6750949174506781e-01, 4.7696729363954582e-01,
      -1.0605540579882382e-01, 1.9656713013350754e-01,  -2.1514707877261979e-01,
      -1.0605540579882382e-01, 2.8720166306787565e-01,  9.3159182283013242e-01,
      -3.9105219662031382e-01, -4.6012852922712744e-01, -3.7107529450742310e-01,
      -3.9105219662031382e-01, 6.4624598213814299e-01,  -1.9218513692914521e-01,
      8.7864237420793134e-02,  -4.6012852922712744e-01, -1.9218513692914521e-01,
      5.5411629355023162e-01,  1.5181004010991156e-01,  -3.7107529450742310e-01,
      8.7864237420793134e-02,  1.5181004010991156e-01,  5.4717905839342551e-01,
      5.5411629355023162e-01,  -1.3154982153268135e-01, -2.2683561534265623e-02,
      -8.5067568027022145e-02, -1.3154982153268135e-01, 4.6158852919583448e-01,
      -7.4818007595887706e-02, -2.3446129520432515e-01, -2.2683561534265623e-02,
      -7.4818007595887706e-02, 4.0511515406019899e-01,  -2.4964155806145566e-01,
      -8.5067568027022145e-02, -2.3446129520432515e-01, -2.4964155806145566e-01,
      3.9586735852137039e-01,  9.4162575876886123e-01,  1.6551527461893110e-02,
      -1.7195190048425002e-01, -8.5321232935839153e-02, 1.6551527461893110e-02,
      7.4304915761252677e-01,  -1.1678199974326212e-01, -4.3729941122496446e-01,
      -1.7195190048425002e-01, -1.1678199974326212e-01, 6.9317482874286218e-01,
      1.9191976680315659e-01,  -8.5321232935839153e-02, -4.3729941122496446e-01,
      1.9191976680315659e-01,  2.8206822618179617e-01,  7.5776646946384441e-01,
      1.3081288362678634e-02,  -3.2517003355282742e-01, -3.5562946132636442e-01,
      1.3081288362678634e-02,  7.0400669442030783e-01,  -2.7774712576896132e-01,
      -1.7472226352059492e-01, -3.2517003355282742e-01, -2.7774712576896132e-01,
      5.1099339330908866e-01,  7.5918257186359903e-02,  -3.5562946132636442e-01,
      -1.7472226352059492e-01, 7.5918257186359903e-02,  2.8288909669360418e-01,
      7.4778071691708869e-01,  -3.9041097955700099e-01, -5.2895674526793196e-03,
      -4.0620032081707269e-01, -3.9041097955700099e-01, 6.0650459602198470e-01,
      -1.5236577918073632e-01, 1.3182011644234659e-03,  -5.2895674526793196e-03,
      -1.5236577918073632e-01, 5.8972872609679527e-01,  -1.4295182509075030e-01,
      -4.0620032081707269e-01, 1.3182011644234659e-03,  -1.4295182509075030e-01,
      4.2821165206248513e-01,  6.2471079378938699e-01,  6.0802406816920937e-02,
      -3.5127267686929931e-01, -3.3963258237386684e-01, 6.0802406816920937e-02,
      6.0313886404423811e-01,  -2.6977044122265748e-01, -1.6348825415331092e-01,
      -3.5127267686929931e-01, -2.6977044122265748e-01, 5.4552055268521205e-01,
      -1.9316799462722023e-02, -3.3963258237386684e-01, -1.6348825415331092e-01,
      -1.9316799462722023e-02, 4.8171669294486208e-01,  7.0578073898484561e-01,
      -9.8967741792306413e-02, 1.2502659893584156e-01,  -3.7971201998874682e-01,
      -9.8967741792306413e-02, 7.0400669442030783e-01,  -6.5060917634508969e-02,
      -1.0206531635166906e-01, 1.2502659893584156e-01,  -6.5060917634508969e-02,
      6.0506774685063136e-01,  -2.9019848494979322e-01, -3.7971201998874682e-01,
      -1.0206531635166906e-01, -2.9019848494979322e-01, 3.3340397458978077e-01,
      9.7231560474448697e-01,  -4.8839770953582246e-02, -5.2649040695832883e-01,
      7.6239831325479152e-02,  -4.8839770953582246e-02, 8.5066067412859170e-01,
      -2.8381943351894323e-01, -4.3719342578830916e-01, -5.2649040695832883e-01,
      -2.8381943351894323e-01, 7.8694914200240895e-01,  -6.9042842925044076e-02,
      7.6239831325479152e-02,  -4.3719342578830916e-01, -6.9042842925044076e-02,
      3.1673915325970592e-01,  1.1146471781363385e+00,  -4.1950872828895774e-01,
      -7.5099287814360732e-02, -7.0747093773604913e-02, -4.1950872828895774e-01,
      8.7811025837608414e-01,  -7.1680109826753424e-01, 1.5469221891377744e-01,
      -7.5099287814360732e-02, -7.1680109826753424e-01, 7.8157368152678353e-01,
      -1.8674982324145417e-01, -7.0747093773604913e-02, 1.5469221891377744e-01,
      -1.8674982324145417e-01, 6.3333781479517670e-01,  9.4162575876886123e-01,
      -3.5756088285386567e-01, -4.9692587682641537e-02, -1.9259678748208950e-01,
      -3.5756088285386567e-01, 5.7304538706875918e-01,  -1.7263416631604137e-01,
      1.7497761971314219e-01,  -4.9692587682641537e-02, -1.7263416631604137e-01,
      5.4717905839342551e-01,  1.8011611616770615e-01,  -1.9259678748208950e-01,
      1.7497761971314219e-01,  1.8011611616770615e-01,  1.6303735520554410e-01,
      1.1146471781363385e+00,  -2.9955742667885321e-01, -4.6620550078880341e-01,
      -3.1378159981378489e-01, -2.9955742667885321e-01, 8.8424257114190075e-01,
      -2.5441067597713185e-01, -2.1591071501682862e-01, -4.6620550078880341e-01,
      -2.5441067597713185e-01, 7.7959145539751795e-01,  -1.2407187853083543e-01,
      -3.1378159981378489e-01, -2.1591071501682862e-01, -1.2407187853083543e-01,
      5.8972872609679527e-01,  6.0506774685063081e-01,  -7.0161191563646669e-02,
      -3.3988044762842473e-01, -1.9107644999487627e-01, -7.0161191563646669e-02,
      4.3045264342637135e-01,  2.0824077812721109e-02,  -2.5586718835495170e-01,
      -3.3988044762842473e-01, 2.0824077812721109e-02,  4.0694636061668399e-01,
      -3.6902580613623392e-02, -1.9107644999487627e-01, -2.5586718835495170e-01,
      -3.6902580613623392e-02, 3.5713610126062301e-01,  1.0507172480981881e+00,
      -5.7238843768987546e-01, -8.6532548307818979e-02, -2.4797217908729449e-01,
      -5.7238843768987546e-01, 6.4845065425155790e-01,  -2.3798654086704824e-01,
      -9.0951164465072995e-02, -8.6532548307818979e-02, -2.3798654086704824e-01,
      4.3025970692640908e-01,  5.1916371214171878e-02,  -2.4797217908729449e-01,
      -9.0951164465072995e-02, 5.1916371214171878e-02,  3.5115749833010762e-01,
      9.7070728754011626e-01,  -1.9667254906106676e-01, 1.3881360342029997e-01,
      1.8332147125431175e-01,  -1.9667254906106676e-01, 6.4107564273521156e-01,
      6.9919471349729312e-02,  -2.0671318712854408e-01, 1.3881360342029997e-01,
      6.9919471349729312e-02,  1.7842412973820965e-01,  -2.8800113566320312e-02,
      1.8332147125431175e-01,  -2.0671318712854408e-01, -2.8800113566320312e-02,
      8.7697980056291452e-02,  9.9699133925078010e-01,  -1.9566669897090611e-01,
      1.1472638955603826e-02,  -3.8137297906451501e-01, -1.9566669897090611e-01,
      7.8694914200240895e-01,  -4.8668226019268873e-01, -4.3398812393252877e-02,
      1.1472638955603826e-02,  -4.8668226019268873e-01, 4.4489736273181785e-01,
      -5.7511361787363047e-02, -3.8137297906451501e-01, -4.3398812393252877e-02,
      -5.7511361787363047e-02, 2.9261590797274251e-01,  5.8721566479597598e-01,
      2.1741339413236024e-01,  -4.6310740433823661e-01, 1.5212653882669683e-01,
      2.1741339413236024e-01,  5.7772908002379919e-01,  -1.1309986042713593e-01,
      -4.6297902780444065e-02, -4.6310740433823661e-01, -1.1309986042713593e-01,
      5.3524434793006614e-01,  7.7916319803791656e-02,  1.5212653882669683e-01,
      -4.6297902780444065e-02, 7.7916319803791656e-02,  3.3070548705408681e-01,
      6.4845065425155790e-01,  -1.1573648783331206e-01, -1.1295787224086569e-02,
      -3.2976819109974104e-01, -1.1573648783331206e-01, 5.7304538706875918e-01,
      -4.4057056903958502e-01, 1.5118880665101278e-01,  -1.1295787224086569e-02,
      -4.4057056903958502e-01, 5.0847535644168274e-01,  -2.7508898922066710e-01,
      -3.2976819109974104e-01, 1.5118880665101278e-01,  -2.7508898922066710e-01,
      4.6158852919583448e-01,  9.2489218226366110e-01,  1.9293109981997125e-01,
      -4.6858170396716431e-01, 4.2486849070578564e-02,  1.9293109981997125e-01,
      8.8759600097388758e-01,  -9.3159319915253995e-03, -2.1166189641553734e-01,
      -4.6858170396716431e-01, -9.3159319915253995e-03, 5.8089947575573275e-01,
      -3.8498930024537814e-01, 4.2486849070578564e-02,  -2.1166189641553734e-01,
      -3.8498930024537814e-01, 4.0608640117736616e-01,  9.0810287860174088e-01,
      -4.5026066211118843e-01, -2.4234797312679049e-01, -1.1635894709323868e-01,
      -4.5026066211118843e-01, 8.3522648701948565e-01,  7.0167369514544164e-02,
      -3.0380780947210834e-01, -2.4234797312679049e-01, 7.0167369514544164e-02,
      2.8658902506762818e-01,  4.2786039330881952e-02,  -1.1635894709323868e-01,
      -3.0380780947210834e-01, 4.2786039330881952e-02,  2.2990742509977113e-01,
      8.7859873068865801e-01,  -4.0521290114598696e-01, -3.4537197184419777e-02,
      -5.1541416274527041e-01, -4.0521290114598696e-01, 7.7073679568840003e-01,
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      -9.0977146732770837e+00, 4.6663261401614928e+00,  -6.7036638792592496e-01,
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      1.9232787391811296e-01,  -9.1370205009458638e-03, 5.2699958100439070e-01};
  std::vector<double> em = em_x;
  std::vector<double> table = {
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      5.2000554052402805e+01,  1.7883235793562420e+02,  6.3273302962903426e+02,
      -1.0138733898825184e+02, 3.2804189825766372e-01,  3.3055293042886030e-01,
      6.1996666427075382e+01,  2.5724136589119979e+02,  1.0913830717468406e+03,
      -1.8317243758181812e+02, 2.5193786568880601e+00,  4.6277932792022042e-01,
      6.2000133522892554e+01,  2.5710536851489377e+02,  1.0934673032018356e+03,
      -1.8370056934287794e+02, 2.5630609198690104e+00,  4.6162176037505448e-01,
      6.1996666427075382e+01,  2.5724136589119979e+02,  1.0913830717468406e+03,
      -1.8317243758181812e+02, 2.5193786568880601e+00,  4.6277932792022042e-01,
      6.2000133522896938e+01,  2.5710536851442714e+02,  1.0934673032246803e+03,
      -1.8370056934963364e+02, 2.5630609205366826e+00,  4.6162176035304603e-01,
      7.1999279107664492e+01,  3.4965254984584158e+02,  1.7356304176273381e+03,
      -3.0063395678020430e+02, 6.2079056750108883e+00,  6.1505333334154833e-01,
      7.2000032172982571e+01,  3.4961232791697932e+02,  1.7365043785874466e+03,
      -3.0086002522613632e+02, 6.2270725229979789e+00,  6.1452738833821030e-01,
      7.1999279107664492e+01,  3.4965254984584158e+02,  1.7356304176273381e+03,
      -3.0063395678020430e+02, 6.2079056750108883e+00,  6.1505333334154833e-01,
      7.2000032172982642e+01,  3.4961232791696904e+02,  1.7365043785881401e+03,
      -3.0086002522634379e+02, 6.2270725230187063e+00,  6.1452738833751985e-01,
      8.1999844359310714e+01,  4.5636323545227941e+02,  2.5918884526432239e+03,
      -4.5885344883307727e+02, 1.1616256691917803e+01,  7.8948404417119522e-01,
      8.2000007751936337e+01,  4.5635184072744744e+02,  2.5922210189842476e+03,
      -4.5894061525528980e+02, 1.1623761628208563e+01,  7.8927378661620728e-01,
      8.1999844359310714e+01,  4.5636323545227941e+02,  2.5918884526432239e+03,
      -4.5885344883307727e+02, 1.1616256691917803e+01,  7.8948404417119522e-01,
      8.2000007751936337e+01,  4.5635184072744744e+02,  2.5922210189842476e+03,
      -4.5894061525528980e+02, 1.1623761628208563e+01,  7.8927378661620728e-01};
  std::vector<double> expected_xyz_scatter = {
      1.4271973325754339e+00,  2.5214997685364109e+00,  3.1394341134078902e+00,
      2.2727894815158436e+00,  1.9127738317829568e+00,  2.5288382955492263e+00,
      3.1401587802428659e+00,  2.5252400661016079e+00,  9.4806287131835343e-01,
      2.3778589851963829e+00,  2.8273548699126683e+00,  1.9358633427396228e+00,
      2.1586806210305824e+00,  2.6256636737020518e+00,  3.3955783231847523e+00,
      2.7091329174140033e+00,  -1.9231004620365049e+00, -4.6499941633630704e-01,
      -1.1594526098009617e+00, -1.2686640472208488e+00, 2.0867847214069872e+00,
      3.0003750888529219e+00,  3.6325449823191440e+00,  2.8788902557067368e+00,
      1.2684738158575621e+00,  1.8537695728403008e+00,  2.1955525109720693e+00,
      1.7836450721166277e+00,  1.8550735634159015e+00,  2.4434013845454778e+00,
      3.0971074319021614e+00,  2.4481507963338514e+00,  1.6439641588553517e+00,
      1.9173245315063490e+00,  2.4213050183154365e+00,  2.0154649449162125e+00,
      8.6044027444396542e-01,  1.6761956340909820e+00,  1.9714372427825169e+00,
      1.4694269993819085e+00,  1.1578881590922248e+00,  2.4304644465537262e+00,
      2.8997419900334167e+00,  2.0775716876050363e+00,  2.3918652577373138e+00,
      2.7767532459788180e+00,  3.5565699066582859e+00,  2.9253650111396308e+00,
      1.6429790566102422e+00,  2.3353986933747315e+00,  2.8497701445565649e+00,
      2.2665599345093730e+00,  6.2452940515269861e-01,  1.3483891434563131e+00,
      1.5336055353368097e+00,  1.1476467351376733e+00,  2.3375903116778036e+00,
      3.0294370345439616e+00,  3.8114115382246951e+00,  3.0486965696352639e+00,
      6.1627879872497271e-01,  1.0222504107870520e+00,  1.1967221175625382e+00,
      9.4398210879701261e-01,  -1.7068032019607302e+00, 3.3613403560802918e-01,
      -1.0411939552994098e-01, -6.6667768860645871e-01, 1.8511171935709925e+00,
      2.2616949107465572e+00,  2.8901786544735999e+00,  2.3344195582834213e+00,
      1.8684390110773692e+00,  2.3089422940069237e+00,  2.9226805832398313e+00,
      2.3717710946817374e+00,  1.9375672494736595e+00,  2.2557776291035463e+00,
      2.8639227616937220e+00,  2.3752065452942275e+00,  -3.2972712763415735e-02,
      1.0799332278489837e+00,  1.0885237991034180e+00,  6.4736232064759269e-01,
      2.8245006381754121e+00,  3.5259487523490192e+00,  4.6113702776738981e+00,
      3.5998420702676723e+00,  2.5905343058532044e+00,  3.9030377854459730e+00,
      4.9001863961421570e+00,  3.6937521865974929e+00,  -2.0466716707172710e+00,
      -1.0685624603518851e-01, -7.3049231485296484e-01, -1.1126777403630335e+00,
      4.5968126827466538e+00,  4.8629895439961155e+00,  6.7099151660558576e+00,
      5.3272372780027073e+00,  1.3052826537711313e+00,  1.5171629367774915e+00,
      1.9011692135645539e+00,  1.5983578000913097e+00,  2.7500355791930211e+00,
      3.1012540902842334e+00,  4.0886454556166472e+00,  3.2988732261870899e+00,
      -3.7661410117701113e+00, -1.3602653035667422e+00, -2.5196607983439852e+00,
      -2.7610055328203522e+00, 2.4189623440903629e+00,  2.8963366391936933e+00,
      3.8107924830413253e+00,  3.0083029750449866e+00,  -3.4747440084737047e+00,
      -1.1388326294486402e+00, -2.4182412000178957e+00, -2.4782338467864626e+00,
      1.8127024518519697e+00,  2.2230503769241436e+00,  2.7468475012971849e+00,
      2.2887727041772736e+00,  -1.2285895780562228e-01, 1.5434771625279660e+00,
      1.6000755001429154e+00,  8.7985271502585627e-01,  1.9011366955569318e+00,
      2.4167616547852120e+00,  3.1462829168951041e+00,  2.4517928223455625e+00,
      3.4327869085046898e+00,  3.8030109751616310e+00,  4.8712356823465610e+00,
      4.0764499721493568e+00,  -1.2035506504910221e-01, 1.0522704557335492e+00,
      9.2716931026249949e-01,  5.7901898977964616e-01,  2.3714074680568968e+00,
      2.7069461333245264e+00,  3.4788009563530058e+00,  2.8668785353548181e+00,
      1.3173599955901605e+00,  2.3373622162330081e+00,  2.7950932510153166e+00,
      2.0958887568436859e+00,  8.4352826372327494e-01,  1.3787710702843035e+00,
      1.6194525500748886e+00,  1.2753294206512922e+00,  2.1844818576218366e+00,
      2.4600046540695972e+00,  3.2061976014984541e+00,  2.6275850202185489e+00,
      7.7180988879817070e-01,  1.0272946579967681e+00,  1.2621894302014174e+00,
      1.0265959882640883e+00,  1.6049231964243249e+00,  2.4546141304955089e+00,
      3.1543902252316531e+00,  2.3261815654970941e+00,  -1.5851508845166586e+00,
      1.7616609630246921e-01,  -4.6927862795076358e-01, -7.0847602690642730e-01,
      9.7206101520523258e-01,  2.1984829496765985e+00,  2.5547429254737746e+00,
      1.8332359752494667e+00,  1.7754746253185822e+00,  2.6825317821817345e+00,
      3.3991991376107316e+00,  2.5509087537769037e+00,  1.0721995919270044e-01,
      1.2979498217369176e+00,  1.3387413397315138e+00,  8.4672254891200061e-01,
      2.9293634097685093e+00,  3.7870623674013393e+00,  4.9049858395715571e+00,
      3.8089529879570825e+00,  8.4019940154161687e-01,  1.4394975389766356e+00,
      1.7212747966327231e+00,  1.3114842544997232e+00,  -4.4681831340750566e-01,
      1.6558375814978303e+00,  1.5645433370489232e+00,  7.7463977013538887e-01,
      5.8820535859917089e-01,  9.1338322532915583e-01,  1.1202010966286036e+00,
      8.6364930010308649e-01,  7.0926056868283660e-01,  1.4218405965219119e+00,
      1.6894042270047498e+00,  1.2378761768042328e+00,  2.3099219963216546e+00,
      2.6932789796161916e+00,  3.5453161672341622e+00,  2.8363942767964803e+00,
      1.8678281855424870e+00,  2.6920312666879047e+00,  3.2316323462531087e+00,
      2.6004324324975743e+00,  1.4005208650900944e+00,  2.1811523726875692e+00,
      2.7048686478151001e+00,  2.0527720081111767e+00,  2.3136081060507738e+00,
      2.9431216274000898e+00,  3.7927332883433289e+00,  2.9867484155017419e+00,
      2.4183082750679299e+00,  3.4684542472901878e+00,  4.3044551492126208e+00,
      3.3503390337668466e+00,  1.3369220495937211e+00,  2.0576414218953958e+00,
      2.5357049204003479e+00,  1.9409755276270539e+00,  -2.1107398251243468e+00,
      -4.8988978509617087e-01, -1.0925226074379997e+00, -1.3770224787571617e+00,
      1.6149648338580387e+00,  1.9730143918958940e+00,  2.5005508027915648e+00,
      2.0369912328773259e+00,  1.9358903207989977e+00,  2.1474863817546317e+00,
      2.7816238043705535e+00,  2.3089858393655152e+00,  5.9610253563576776e-01,
      1.8174801336559421e+00,  2.1475049000471036e+00,  1.4151097394224248e+00,
      5.1090833065932995e-01,  1.2160531841070317e+00,  1.3152029243838474e+00,
      1.0054053301687891e+00,  2.1775101573737672e+00,  2.7592291083038578e+00,
      3.5514577227476543e+00,  2.8051749838391071e+00,  1.4574449572780601e+00,
      1.8257794999887023e+00,  2.3529474069241134e+00,  1.8687169225939499e+00,
      3.9934672259732729e+00,  4.6069625003686925e+00,  6.0365399138833418e+00,
      4.8498952298984239e+00,  5.0206849491088514e+02,  5.2990619575924950e+02,
      5.0718360719485423e+02,  5.3078609113850609e+02,  4.2099706807708640e+02,
      4.4995011865286330e+02,  4.2613481931665478e+02,  4.5054742567627943e+02,
      6.4624126958401507e+02,  6.7232697462462943e+02,  6.5259938738906271e+02,
      6.7148563064230416e+02,  4.2978137542372599e+02,  4.5001246708893814e+02,
      4.3535643412910235e+02,  4.5267999547985386e+02,  3.3452377892226485e+02,
      3.5665923744531250e+02,  3.3921143957791395e+02,  3.5904334578072132e+02,
      4.2377024314145552e+02,  4.4269249140996482e+02,  4.3013979474766063e+02,
      4.4602164788241845e+02,  4.0106095277790195e+02,  4.2025993436574691e+02,
      4.0597499630524908e+02,  4.2366611812473144e+02,  3.8696471878412717e+02,
      4.0913035507396773e+02,  3.8997037364405418e+02,  4.1288273173906788e+02,
      3.6331657327614209e+02,  3.8874925104444759e+02,  3.6568536230961831e+02,
      3.8997929930096944e+02,  3.0766058208873443e+02,  3.3007628916707438e+02,
      3.1095679032603221e+02,  3.3214170847015549e+02,  3.7417389932974652e+02,
      3.9610585314922997e+02,  3.8035396619631911e+02,  4.0089442860025434e+02,
      3.8077716282948728e+02,  4.0439557659241609e+02,  3.8495076836644944e+02,
      4.0710965835899611e+02,  5.0832346005741056e+02,  5.2918139375030751e+02,
      5.0999148566291376e+02,  5.3238824760640534e+02,  3.5895613327835940e+02,
      3.7388263235784137e+02,  3.6145315529806305e+02,  3.7979834444073651e+02,
      3.7956459278145832e+02,  4.0172961800115581e+02,  3.8172408748658489e+02,
      4.0500568949748191e+02,  3.9684913832843944e+02,  4.1936779798804349e+02,
      3.9896001344387633e+02,  4.2078747802693186e+02,  3.3493113256513072e+02,
      3.5265874034487007e+02,  3.3927703565539474e+02,  3.6107266137720109e+02,
      3.6604604197249961e+02,  3.8893228913059670e+02,  3.6730129201251361e+02,
      3.9043728041862283e+02,  3.8812581530185560e+02,  4.0924615019224609e+02,
      3.9322998085289782e+02,  4.1390337702757438e+02,  4.8856029801345204e+02,
      5.0271192916654570e+02,  4.9091594198952845e+02,  5.0809377638444926e+02,
      5.2321208035994221e+02,  5.4770952441490192e+02,  5.2817006845838080e+02,
      5.4714484189009147e+02,  4.9081225091120268e+02,  5.1240397279603928e+02,
      4.9158073027031935e+02,  5.1502480371472871e+02,  5.7223828602721358e+02,
      5.9667394727556575e+02,  5.7537894734461975e+02,  5.9925470530439986e+02,
      4.9646123158168882e+02,  5.1903534403318656e+02,  5.0181634086118572e+02,
      5.2172511442944483e+02,  5.2233159969818155e+02,  5.4780412588510796e+02,
      5.2846475284626229e+02,  5.4849754426441416e+02,  4.5617530091144931e+02,
      4.7396892884953650e+02,  4.5877481670469268e+02,  4.7577802295466512e+02,
      4.4587673834159580e+02,  4.6732395897795834e+02,  4.5162986675993960e+02,
      4.6775280428052747e+02,  4.0283354373844770e+02,  4.1961075089899697e+02,
      4.0745259059538853e+02,  4.2303359882010614e+02,  5.3834353723774768e+02,
      5.6525863139407920e+02,  5.4218387057666916e+02,  5.6547607603652864e+02,
      4.4261815891116561e+02,  4.6322139706306598e+02,  4.4557510448028398e+02,
      4.6409152553377004e+02,  4.4247192104148161e+02,  4.6619614492253584e+02,
      4.4614612324987121e+02,  4.6625206457720230e+02,  3.6128738532891242e+02,
      3.8988552843469040e+02,  3.6940156471526564e+02,  3.8850389331677923e+02,
      4.7389962473318047e+02,  5.0013101019299427e+02,  4.7841978642421418e+02,
      5.0240916591976708e+02,  4.4507921732155654e+02,  4.7390246086556681e+02,
      4.5040565227666025e+02,  4.7420235641495236e+02,  4.8993159334334075e+02,
      5.1119545519430841e+02,  4.9450301753071705e+02,  5.1079476503475638e+02,
      3.9149835455877076e+02,  4.1695134005502371e+02,  3.9850449284689967e+02,
      4.1768853701434006e+02,  5.5536615451459932e+02,  5.8218713084686863e+02,
      5.6219650600540592e+02,  5.8110371415189206e+02,  3.5857465223194458e+02,
      3.7805893452052851e+02,  3.6313044059114281e+02,  3.8278842764472688e+02,
      3.9613973998079075e+02,  4.2121250028684204e+02,  4.0322872883880973e+02,
      4.2129275763397044e+02,  4.2936205593131211e+02,  4.5353270360878503e+02,
      4.3287345252040535e+02,  4.5448469042238418e+02,  4.4950161157908241e+02,
      4.7532105082965637e+02,  4.5647550173342893e+02,  4.7547228050864646e+02,
      3.2679348365595416e+02,  3.4926301408293159e+02,  3.3184472007084833e+02,
      3.4766058741420920e+02,  3.7386411648728529e+02,  3.9861550748020761e+02,
      3.7822194089162900e+02,  4.0013870143390176e+02,  4.4829502159394286e+02,
      4.7694032786407286e+02,  4.5274923302353994e+02,  4.7569909856079317e+02,
      5.0605732715124822e+02,  5.2982960997204441e+02,  5.1018585735851212e+02,
      5.3097883224725592e+02,  3.5863665220726045e+02,  3.8682448095468220e+02,
      3.6639443664339842e+02,  3.8645991462669110e+02,  4.2980724222044194e+02,
      4.4200509624071060e+02,  4.3377896483976394e+02,  4.5049650817962009e+02,
      4.7353077646683136e+02,  5.0370872675117209e+02,  4.7734477563720822e+02,
      5.0383525959610876e+02,  3.3018963371387275e+02,  3.5335741347599691e+02,
      3.3490687757435569e+02,  3.5549069288195227e+02,  5.4332101159480499e+02,
      5.5773440615406525e+02,  5.4693692877181081e+02,  5.6229241672395904e+02,
      4.3911838198513118e+02,  4.6389559606570378e+02,  4.4555972724814870e+02,
      4.6330360136131640e+02,  5.9012746767991473e+02,  6.0881103345863914e+02,
      5.9238046236563105e+02,  6.1153339968383796e+02,  3.3567654669942158e+02,
      3.5471649519755044e+02,  3.3738613420476901e+02,  3.6005001180565057e+02,
      4.5183734883466576e+02,  4.7792551648388240e+02,  4.5576605194928987e+02,
      4.7882989629493864e+02,  4.9963595110319130e+02,  5.2447596823087997e+02,
      5.0502830948039860e+02,  5.2575477228206853e+02,  3.0830398627916276e+02,
      3.3105832470397951e+02,  3.1259710901928895e+02,  3.3410602914065612e+02,
      3.2743062231073293e+02,  3.4891769728491801e+02,  3.3177463909525744e+02,
      3.5362578896828563e+02,  4.7519868494408144e+02,  4.9515900441603736e+02,
      4.7779717459656456e+02,  4.9826625741531501e+02,  4.9284871034497542e+02,
      5.1106984057352037e+02,  4.9641742709973187e+02,  5.1336922593850761e+02,
      3.5619924997896692e+02,  3.7973909500494273e+02,  3.6036976487086139e+02,
      3.8244786836827933e+02,  5.1023777988632258e+02,  5.2792203133332578e+02,
      5.1181598214733094e+02,  5.3093252840119374e+02,  5.8515851970733684e+02,
      6.0662095917829583e+02,  5.8836080558705828e+02,  6.0856740950778476e+02,
      4.2320528132965376e+02,  4.4433409233260238e+02,  4.2774087770870437e+02,
      4.4493227381084881e+02,  5.3649403282476419e+02,  5.6002649142365817e+02,
      5.4100544048421602e+02,  5.6344537433495304e+02,  3.2108481178606974e+02,
      3.3751402850679085e+02,  3.2639602686352305e+02,  3.4280497127600313e+02,
      3.6088723193495770e+02,  3.8330727327246012e+02,  3.6766216892694246e+02,
      3.8408740198273415e+02,  5.3789217565204069e+02,  5.6077082817082771e+02,
      5.4561433429711803e+02,  5.6002190651264800e+02,  3.8542525382667549e+02,
      4.0818706679585972e+02,  3.8989237977139476e+02,  4.1071672112601937e+02,
      4.4017080999360439e+02,  4.6096607829162730e+02,  4.4148597908498385e+02,
      4.6196829584408204e+02,  4.4910149091628733e+02,  4.7307394363534456e+02,
      4.5076663700944351e+02,  4.7551430237289520e+02,  3.9227814682587132e+02,
      4.1257798087214985e+02,  3.9521371950921736e+02,  4.1711897460767489e+02,
      5.1452231508718626e+02,  5.3859526400720893e+02,  5.1952695545599056e+02,
      5.3961923578685878e+02,  3.8109275356108719e+02,  4.0346504014461300e+02,
      3.8610825630499738e+02,  4.0617030886712132e+02,  4.8452457505595487e+02,
      5.0041974589465406e+02,  4.8964722068875346e+02,  5.0550298995865631e+02,
      3.9804275290318742e+02,  4.2264782863487699e+02,  4.0321007872679951e+02,
      4.2492264399123434e+02,  5.0509147743746217e+02,  5.2641842260951853e+02,
      5.0615604907658002e+02,  5.2851782681184159e+02,  3.3459128881879548e+02,
      3.5785989581765483e+02,  3.4014053555863410e+02,  3.6113224451566020e+02,
      3.7243330242446217e+02,  3.9454364197091792e+02,  3.7709573464905105e+02,
      3.9881470989101706e+02,  4.6373112347911342e+02,  4.9281947700430516e+02,
      4.6700883320630629e+02,  4.9432223003118827e+02,  4.8356479533205874e+02,
      4.9924019843893802e+02,  4.8602244108327392e+02,  5.0403944602754200e+02,
      4.9405865887431497e+02,  5.1764099704293153e+02,  4.9706952654679344e+02,
      5.1857657553800686e+02,  3.2353192335630808e+02,  3.4294458004548534e+02,
      3.3005085921688982e+02,  3.4832237869662674e+02,  3.7709990325592833e+02,
      4.0170421910177203e+02,  3.8082050238146007e+02,  4.0277160778705706e+02,
      5.3575655043259815e+02,  5.5597457504626493e+02,  5.4128699868812475e+02,
      5.5631870299488321e+02,  4.0289822061838851e+02,  4.2011136295440394e+02,
      4.0596438967835684e+02,  4.2376691548223067e+02,  4.9819597054194503e+02,
      5.2512706626398779e+02,  5.0197315929161960e+02,  5.2498152747596998e+02,
      4.6817667276634273e+02,  5.0014722377303497e+02,  4.7458649647723576e+02,
      5.0150495171951650e+02,  4.1941666791857625e+02,  4.3883151509608655e+02,
      4.2401675298355462e+02,  4.4187117909268017e+02,  4.4249214476881394e+02,
      4.6979092814746605e+02,  4.5029339653448335e+02,  4.7008378840721508e+02,
      3.5083981057495157e+02,  3.7313087632713695e+02,  3.5453905916645419e+02,
      3.7328522070000724e+02,  5.9181740721854158e+02,  6.1605214530968453e+02,
      5.9371833379543057e+02,  6.1944402449941288e+02,  4.5118997327463666e+02,
      4.7157660592958536e+02,  4.5537464602637550e+02,  4.7369769489472503e+02,
      4.0138177193179956e+02,  4.1688091486099427e+02,  4.0497942623326634e+02,
      4.2129355581523492e+02,  3.2454476068904751e+02,  3.4375410350243283e+02,
      3.2903937444908257e+02,  3.4952628701737717e+02,  3.2747645819233173e+02,
      3.5223863743599901e+02,  3.3462584368670485e+02,  3.5238457621937755e+02,
      5.1406293910821455e+02,  5.4054861864779025e+02,  5.1862961318339524e+02,
      5.3983332800144319e+02,  3.2626786506568948e+02,  3.4484875304946956e+02,
      3.2968597510617190e+02,  3.5115983614977830e+02,  4.3161832975765424e+02,
      4.5816388988101232e+02,  4.3575161757387821e+02,  4.5976959274894392e+02,
      3.5654924037338890e+02,  3.8348265216764844e+02,  3.6337728104134629e+02,
      3.8304023786626510e+02,  4.8355605334720593e+02,  5.0545440221729081e+02,
      4.8988058276802548e+02,  5.0618475071249503e+02,  4.0865412723946616e+02,
      4.2800407219894146e+02,  4.1095472883899140e+02,  4.3167357399059108e+02,
      2.9708316761901597e+02,  3.1383146748172811e+02,  2.9852303627317781e+02,
      3.1710940115047504e+02,  4.7142270881905046e+02,  4.8987477487142007e+02,
      4.7426138183490190e+02,  4.9403105234490903e+02,  3.6559540566801468e+02,
      3.8870805730365379e+02,  3.6991533799271076e+02,  3.9018512214896242e+02,
      5.3051276561692873e+02,  5.5329760522784727e+02,  5.3526924112310326e+02,
      5.5512839001953125e+02,  4.9480860427837490e+02,  5.1417711766271100e+02,
      4.9754426266298464e+02,  5.1841294991322388e+02,  3.7755705785212410e+02,
      3.9871403752122859e+02,  3.8399149816388353e+02,  3.9960423516196516e+02,
      5.4606883830754020e+02,  5.7269177786419971e+02,  5.5192452991915388e+02,
      5.7279122308323679e+02,  3.7257595764014530e+02,  3.9118140540161784e+02,
      3.7687331126515454e+02,  3.9896571592453080e+02,  5.2752105969967772e+02,
      5.5611293296971098e+02,  5.3281649703346557e+02,  5.5594920150426572e+02,
      4.3231846898537026e+02,  4.5288085667282348e+02,  4.3724671179152733e+02,
      4.5453580950036348e+02,  4.7848078271205947e+02,  4.9368761153563361e+02,
      4.8122739366968841e+02,  4.9813960591790141e+02,  4.1534041583572440e+02,
      4.3799832356033329e+02,  4.1706050141647705e+02,  4.4120345083811236e+02,
      4.2450222526363888e+02,  4.4987978590265880e+02,  4.2579221415895904e+02,
      4.5062389839125194e+02,  5.3367829890285134e+02,  5.5925299920437146e+02,
      5.3827600387794030e+02,  5.5875107897809198e+02,  3.1886322192082901e+02,
      3.4604588931737567e+02,  3.2494503946587514e+02,  3.4498806567101104e+02,
      4.5828995348069998e+02,  4.8134664875820539e+02,  4.6362842114441025e+02,
      4.8218008418611402e+02,  3.2815013315367082e+02,  3.5330311766072475e+02,
      3.3495746008397487e+02,  3.5350425839038832e+02,  4.5574559510937661e+02,
      4.8461323076426964e+02,  4.6148981459068813e+02,  4.8263615785873958e+02,
      4.2501531271042046e+02,  4.5132404339430190e+02,  4.2823468757230540e+02,
      4.5342670023963024e+02,  3.7302979260694212e+02,  3.9811608227111651e+02,
      3.7780483413354148e+02,  3.9775933708215859e+02,  5.3852258883589616e+02,
      5.5889183953662018e+02,  5.4315382086627653e+02,  5.5817153685794256e+02,
      3.5722233146453829e+02,  3.8308198559090272e+02,  3.6280918007156259e+02,
      3.8401915651539724e+02,  4.8783906491191323e+02,  5.0943975381762459e+02,
      4.9217676882174038e+02,  5.1161007146016738e+02,  4.6331654743950884e+02,
      4.7499075201329407e+02,  4.6705071715769213e+02,  4.8374951558367218e+02,
      4.2992453268172954e+02,  4.4705802004563787e+02,  4.3466409215168113e+02,
      4.5143517678668394e+02,  5.8618728290886418e+02,  6.0641021558623345e+02,
      5.8936993438739410e+02,  6.0675386578249834e+02,  4.9964299424902913e+02,
      5.2969306085468259e+02,  5.0356864383992928e+02,  5.2869887670804815e+02};
  std::vector<double> expected_dy_dem_x = {
      -8.5282566239703315e-04, 9.7434896238470878e-05,
      2.8198670103749745e-05,  1.4683718725367045e-04,
      9.7434896238470878e-05,  -8.2177981795691663e-04,
      1.4730179246350320e-04,  2.2697700888374512e-04,
      2.8198670103749745e-05,  1.4730179246350320e-04,
      -3.0546099757163860e-04, -1.0691955275624962e-04,
      1.4683718725367045e-04,  2.2697700888374512e-04,
      -1.0691955275624962e-04, -2.0472393176281583e-04,
      -5.8986194101090419e-04, 2.0301485015849167e-05,
      1.4477690521761920e-04,  1.5589944596906697e-04,
      2.0301485015849167e-05,  -3.4790826051777767e-04,
      1.6188954118095066e-04,  -6.4754798873391454e-05,
      1.4477690521761920e-04,  1.6188954118095066e-04,
      -2.9910593935885945e-04, -5.0936876433791144e-05,
      1.5589944596906697e-04,  -6.4754798873391454e-05,
      -5.0936876433791144e-05, -1.0355517826698125e-04,
      -6.9459162938867685e-04, 2.8327565248668782e-05,
      2.8430463755414195e-05,  4.6197796678653893e-05,
      2.8327565248668782e-05,  -4.3779001120184660e-04,
      3.9125697200477542e-05,  -3.1649070137933027e-05,
      2.8430463755414195e-05,  3.9125697200477542e-05,
      -4.0417658999342403e-04, 7.6519185026183547e-05,
      4.6197796678653893e-05,  -3.1649070137933027e-05,
      7.6519185026183547e-05,  -2.8017988936616456e-04,
      -8.6012936276845748e-04, 8.9176446815027605e-05,
      1.6318850169617433e-05,  1.4131109278314074e-04,
      8.9176446815027605e-05,  -2.3539344428552647e-04,
      1.0554839943982053e-04,  6.1754240894486574e-05,
      1.6318850169617433e-05,  1.0554839943982053e-04,
      -2.2356938850427748e-04, -5.5818570386833549e-05,
      1.4131109278314074e-04,  6.1754240894486574e-05,
      -5.5818570386833549e-05, -1.8579307724742348e-04,
      -1.4579471606530545e-05, 1.8373628547591411e-06,
      6.3404455687761808e-09,  1.6520017494432617e-05,
      1.8373628547591411e-06,  4.0055076619841326e-05,
      5.1870915506862245e-07,  6.5455154995692458e-06,
      6.3404455687761808e-09,  5.1870915506862245e-07,
      3.5777013395772088e-05,  1.2331072770409084e-06,
      1.6520017494432617e-05,  6.5455154995692458e-06,
      1.2331072770409084e-06,  2.9330374271367200e-05,
      -1.0591838639597137e-03, 3.7324386487840001e-04,
      1.1201603730535799e-04,  -1.3094998715550417e-04,
      3.7324386487840001e-04,  -5.3825225173688483e-04,
      1.5433463803274103e-05,  6.7929980996522018e-06,
      1.1201603730535799e-04,  1.5433463803274103e-05,
      -1.5347431592130682e-04, 7.3816404184980853e-05,
      -1.3094998715550417e-04, 6.7929980996522018e-06,
      7.3816404184980853e-05,  -1.4291206449640258e-04,
      -3.3653765271671784e-04, 9.6409327441248667e-05,
      6.4078783813068993e-05,  -5.7869265471838981e-05,
      9.6409327441248667e-05,  -2.2563161687222687e-04,
      7.2686803292055054e-05,  -6.2940087651933607e-05,
      6.4078783813068993e-05,  7.2686803292055054e-05,
      -1.6173581616879356e-04, 8.8234028851700132e-05,
      -5.7869265471838981e-05, -6.2940087651933607e-05,
      8.8234028851700132e-05,  -9.8164250335740287e-05,
      -4.8591645753528860e-04, 9.7740935502860828e-05,
      4.4478158377719349e-05,  1.0419035578929442e-04,
      9.7740935502860828e-05,  -2.8008833575539116e-04,
      1.0234342742699657e-05,  -1.1066375197239399e-05,
      4.4478158377719349e-05,  1.0234342742699657e-05,
      -2.7922668025205693e-04, 1.1806531746953321e-04,
      1.0419035578929442e-04,  -1.1066375197239399e-05,
      1.1806531746953321e-04,  -1.9974381044785472e-04,
      -4.5059018192044660e-04, 1.5855953261830535e-04,
      1.0703891128048314e-04,  -2.9320496830173838e-05,
      1.5855953261830535e-04,  -2.0101672795536590e-04,
      5.3750835060043594e-06,  6.3549045572453374e-05,
      1.0703891128048314e-04,  5.3750835060043594e-06,
      -2.0012584084945853e-04, 8.1458143700506442e-05,
      -2.9320496830173838e-05, 6.3549045572453374e-05,
      8.1458143700506442e-05,  -1.7784532544621600e-04,
      -4.7553664863859020e-04, 9.0606794366112880e-05,
      1.1547757782783547e-04,  1.7942202135921617e-04,
      9.0606794366112880e-05,  -3.7929902055660708e-04,
      1.1141005377050407e-04,  -1.0369999356845449e-04,
      1.1547757782783547e-04,  1.1141005377050407e-04,
      -3.0010715447777566e-04, 5.9933061644597410e-05,
      1.7942202135921617e-04,  -1.0369999356845449e-04,
      5.9933061644597410e-05,  -1.5711713725349039e-04,
      -8.4512694843494427e-04, -1.5998766504508188e-04,
      1.3459366005811189e-04,  8.9050023157920225e-05,
      -1.5998766504508188e-04, -7.4497721059562944e-04,
      2.1490465386259777e-04,  8.6993211035125107e-06,
      1.3459366005811189e-04,  2.1490465386259777e-04,
      -3.5600902729500730e-04, 1.2490893288676265e-04,
      8.9050023157920225e-05,  8.6993211035125107e-06,
      1.2490893288676265e-04,  -2.4912698171829185e-04,
      -5.4677729864457437e-04, 1.4544760640130386e-04,
      2.1553577462634675e-04,  -5.7697338533785043e-05,
      1.4544760640130386e-04,  -3.9389932680879196e-04,
      9.3103780652668911e-05,  1.5781465334615180e-04,
      2.1553577462634675e-04,  9.3103780652668911e-05,
      -3.5209769647293266e-04, 3.0908080405118161e-05,
      -5.7697338533785043e-05, 1.5781465334615180e-04,
      3.0908080405118161e-05,  -2.9381991178282840e-04,
      -8.4897434901643008e-04, 2.4958296800820011e-04,
      1.6042793880630297e-04,  2.0191539006263895e-04,
      2.4958296800820011e-04,  -4.9074044762242083e-04,
      -3.8390868153238754e-05, 6.9794232794373798e-06,
      1.6042793880630297e-04,  -3.8390868153238754e-05,
      -2.3180481912080813e-04, -1.2344065882196416e-04,
      2.0191539006263895e-04,  6.9794232794373798e-06,
      -1.2344065882196416e-04, -1.9034910644016834e-04,
      -3.9234583079674319e-04, 1.0779962022557863e-04,
      7.7172205961845708e-05,  -1.0845300489032052e-04,
      1.0779962022557863e-04,  -3.6501653375163899e-04,
      1.6932449587587277e-04,  1.1497268397185604e-04,
      7.7172205961845708e-05,  1.6932449587587277e-04,
      -2.4040175903203856e-04, 6.3315499528010007e-05,
      -1.0845300489032052e-04, 1.1497268397185604e-04,
      6.3315499528010007e-05,  -1.4974518011387353e-04,
      -7.5415253127048964e-04, 1.4628668950921841e-04,
      1.6870584651280783e-04,  1.4071636815485435e-04,
      1.4628668950921841e-04,  -3.5212613519392216e-04,
      8.9576029143352727e-05,  -4.6556408920235956e-05,
      1.6870584651280783e-04,  8.9576029143352727e-05,
      -2.7822614419127146e-04, -7.8397846864094857e-05,
      1.4071636815485435e-04,  -4.6556408920235956e-05,
      -7.8397846864094857e-05, -2.7346041679651505e-04,
      -2.6033241393473680e-04, 6.1297134521054865e-05,
      1.1370943254758424e-05,  4.1345709213983918e-05,
      6.1297134521054865e-05,  -2.0636544320363793e-04,
      3.6633072227909512e-05,  9.6487308065657876e-05,
      1.1370943254758424e-05,  3.6633072227909512e-05,
      -1.7929253284262379e-04, 1.0075401050272592e-04,
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      3.5355569910289946e-04,  -5.9829675272084996e-04,
      1.4227457831415008e-01,  3.7409193782549421e-02,
      -1.6999608012668766e-03, -1.4775810720134223e-03,
      3.7409193782549421e-02,  -6.6980266639126880e-03,
      3.7313860360236049e-04,  3.6390843416024218e-04,
      -1.6999608012668766e-03, 3.7313860360236049e-04,
      -6.8923641265649434e-04, -1.1118512619169452e-04,
      -1.4775810720134223e-03, 3.6390843416024218e-04,
      -1.1118512619169452e-04, -3.6167006383143143e-04,
      -3.0408057058263434e-02, 2.8102062565578297e-03,
      -9.9186210750588349e-05, -1.0848067328911566e-03,
      2.8102062565578297e-03,  -1.9168669695793325e-03,
      -1.5989044944160041e-04, 3.7928404911171667e-04,
      -9.9186210750588349e-05, -1.5989044944160041e-04,
      -6.4212418303488965e-04, 1.2414097957366861e-04,
      -1.0848067328911566e-03, 3.7928404911171667e-04,
      1.2414097957366861e-04,  -4.8937310642877495e-04,
      -5.8151762326818325e-02, 2.0612537512420814e-02,
      -1.8069350755089380e-03, -1.9159225235797013e-03,
      2.0612537512420814e-02,  -1.5273838578175230e-03,
      4.8641178441277146e-04,  5.7168029371084457e-04,
      -1.8069350755089380e-03, 4.8641178441277146e-04,
      -8.5373804438111515e-04, 2.1202613463988789e-04,
      -1.9159225235797013e-03, 5.7168029371084457e-04,
      2.1202613463988789e-04,  -7.8732691228072034e-04,
      1.1798334731925102e-01,  -2.8140161709447171e-02,
      -1.2130478454804230e-03, 4.6360451013415833e-04,
      -2.8140161709447171e-02, -2.5008525901788615e-03,
      1.3314100722865963e-03,  -4.2462405872217889e-04,
      -1.2130478454804230e-03, 1.3314100722865963e-03,
      -1.0941534938684865e-03, 5.1529382431827911e-04,
      4.6360451013415833e-04,  -4.2462405872217889e-04,
      5.1529382431827911e-04,  -6.7010849513206446e-04,
      -1.9635177370699608e-01, 3.1453073526812375e-03,
      1.9943467720728159e-04,  1.8490379843829265e-03,
      3.1453073526812375e-03,  -1.4755660222860181e-03,
      2.5216877122513355e-04,  -7.8528688355206447e-04,
      1.9943467720728159e-04,  2.5216877122513355e-04,
      -1.4555949485632702e-03, -5.9788067272640536e-04,
      1.8490379843829265e-03,  -7.8528688355206447e-04,
      -5.9788067272640536e-04, -1.4009824713669468e-03,
      1.8079617326597403e-01,  1.3311705456384233e-02,
      -1.6813583174003447e-03, 1.6754281220701891e-03,
      1.3311705456384233e-02,  -2.5836933131966949e-03,
      1.2524623632335693e-03,  -4.4318906832989434e-04,
      -1.6813583174003447e-03, 1.2524623632335693e-03,
      -1.1071301248058326e-03, 1.6237170251639789e-04,
      1.6754281220701891e-03,  -4.4318906832989434e-04,
      1.6237170251639789e-04,  -5.8066403722343185e-04,
      -4.7658243260452392e-02, -1.1547225654362255e-02,
      -1.6724724586724625e-04, -8.6129819877703328e-04,
      -1.1547225654362255e-02, -3.2589278968339326e-03,
      2.6655390367207022e-04,  2.2553348630838165e-04,
      -1.6724724586724625e-04, 2.6655390367207022e-04,
      -3.8468694210936846e-04, 2.0656031333140019e-04,
      -8.6129819877703328e-04, 2.2553348630838165e-04,
      2.0656031333140019e-04,  -3.5394037175600837e-04,
      -6.6559656789261540e-02, 3.6780140422847912e-02,
      -1.0833735822547434e-03, 1.3914255331022606e-04,
      3.6780140422847912e-02,  -3.3904219310184804e-03,
      5.4509538508334726e-04,  -2.2439596920688072e-04,
      -1.0833735822547434e-03, 5.4509538508334726e-04,
      -1.1195941512654017e-03, 1.0549891235828525e-05,
      1.3914255331022606e-04,  -2.2439596920688072e-04,
      1.0549891235828525e-05,  -5.8598966626073352e-04};
  std::vector<double> expected_dy_dem = {
      4.8687245272451135e-03,  5.5397159651024933e-03,
      5.4642599386694624e-03,  5.6057159373549721e-03,
      5.5397159651024933e-03,  4.8806501836285432e-03,
      5.6063767619383984e-03,  5.6970860664459413e-03,
      5.4642599386694624e-03,  5.6063767619383984e-03,
      5.1211835750794290e-03,  5.3223602254697877e-03,
      5.6057159373549721e-03,  5.6970860664459413e-03,
      5.3223602254697877e-03,  5.2081125072059725e-03,
      4.5292484636524086e-03,  4.9816448819259198e-03,
      5.1363544712933759e-03,  5.1501696199608019e-03,
      4.9816448819259198e-03,  4.6419992655419269e-03,
      5.1569135569294903e-03,  4.8945949693767234e-03,
      5.1363544712933759e-03,  5.1569135569294903e-03,
      4.6706613224722264e-03,  4.9092906666249794e-03,
      5.1501696199608019e-03,  4.8945949693767234e-03,
      4.9092906666249794e-03,  4.8515691645339065e-03,
      3.0190652370495003e-03,  3.4898418636317798e-03,
      3.4899656132580579e-03,  3.5145415393083900e-03,
      3.4898418636317798e-03,  3.1452916478866737e-03,
      3.5037937416394702e-03,  3.4286490652383700e-03,
      3.4899656132580579e-03,  3.5037937416394702e-03,
      3.1627359787623427e-03,  3.5804187550924349e-03,
      3.5145415393083900e-03,  3.4286490652383700e-03,
      3.5804187550924349e-03,  3.2322057910012985e-03,
      3.6840833901333001e-03,  4.3387482039692832e-03,
      4.2515867787302417e-03,  4.4155206099863904e-03,
      4.3387482039692832e-03,  4.0028491849676334e-03,
      4.3652298563497116e-03,  4.3014839026378881e-03,
      4.2515867787302417e-03,  4.3652298563497116e-03,
      4.0124345907042516e-03,  4.1790409970907686e-03,
      4.4155206099863904e-03,  4.3014839026378881e-03,
      4.1790409970907686e-03,  4.0456958994549621e-03,
      4.7788898285209408e-03,  4.7316589641173863e-03,
      4.7277506758881538e-03,  4.7420787786160946e-03,
      4.7316589641173863e-03,  4.7632472674770847e-03,
      4.7277799549445667e-03,  4.7294160442947122e-03,
      4.7277506758881538e-03,  4.7277799549445667e-03,
      4.7576353824550499e-03,  4.7311669494084236e-03,
      4.7420787786160946e-03,  4.7294160442947122e-03,
      4.7311669494084236e-03,  4.7516945819656171e-03,
      3.9248662197341371e-03,  4.9180169646964866e-03,
      4.7190463613870446e-03,  4.4520204316217879e-03,
      4.9180169646964866e-03,  4.1556621508365569e-03,
      4.6033674111750095e-03,  4.5946737014459435e-03,
      4.7190463613870446e-03,  4.6033674111750095e-03,
      4.4277151435242147e-03,  4.6668537390335040e-03,
      4.4520204316217879e-03,  4.5946737014459435e-03,
      4.6668537390335040e-03,  4.4390865038161998e-03,
      3.7758343215872881e-03,  4.1709220560399215e-03,
      4.1202109662083035e-03,  3.9893563131548088e-03,
      4.1709220560399215e-03,  3.8379626600639266e-03,
      4.1328523107198936e-03,  3.9840470230024889e-03,
      4.1202109662083035e-03,  4.1328523107198936e-03,
      3.8852759103779593e-03,  4.1580920004019896e-03,
      3.9893563131548088e-03,  3.9840470230024889e-03,
      4.1580920004019896e-03,  3.9467666481718391e-03,
      3.9761642677066033e-03,  4.4504099654305816e-03,
      4.3794412854383678e-03,  4.4604317957851781e-03,
      4.4504099654305816e-03,  4.0768567666647814e-03,
      4.3435449806077473e-03,  4.3222112460340181e-03,
      4.3794412854383678e-03,  4.3435449806077473e-03,
      4.0773633573082564e-03,  4.4803490047300660e-03,
      4.4604317957851781e-03,  4.3222112460340181e-03,
      4.4803490047300660e-03,  4.1310317786866901e-03,
      4.3424352854361066e-03,  4.9111142266166450e-03,
      4.8395299678665781e-03,  4.6865337839814593e-03,
      4.9111142266166450e-03,  4.5038688193735138e-03,
      4.7214010478928668e-03,  4.7827433155358395e-03,
      4.8395299678665781e-03,  4.7214010478928668e-03,
      4.5047095985936833e-03,  4.8043858107812464e-03,
      4.6865337839814593e-03,  4.7827433155358395e-03,
      4.8043858107812464e-03,  4.5266636394073641e-03,
      5.0023501655291321e-03,  5.4960776974766461e-03,
      5.5277863655162403e-03,  5.6131610328358644e-03,
      5.4960776974766461e-03,  5.0497823718039583e-03,
      5.5223616852066977e-03,  5.2893854856376011e-03,
      5.5277863655162403e-03,  5.5223616852066977e-03,
      5.0964808619146599e-03,  5.4611470394996591e-03,
      5.6131610328358644e-03,  5.2893854856376011e-03,
      5.4611470394996591e-03,  5.2261512984334412e-03,
      3.9613105413924812e-03,  4.4015218128590642e-03,
      4.7307418574636991e-03,  4.6640477363723105e-03,
      4.4015218128590642e-03,  4.0082410785944010e-03,
      4.8261944934070503e-03,  4.5757895595947961e-03,
      4.7307418574636991e-03,  4.8261944934070503e-03,
      4.2233067127250678e-03,  4.7151130208320496e-03,
      4.6640477363723105e-03,  4.5757895595947961e-03,
      4.7151130208320496e-03,  4.3106975949268253e-03,
      4.7334182996649809e-03,  5.3634328062759831e-03,
      5.4504527709104602e-03,  5.1343603133321243e-03,
      5.3634328062759831e-03,  4.8165188916604821e-03,
      5.2922209819789611e-03,  5.3818126119621716e-03,
      5.4504527709104602e-03,  5.2922209819789611e-03,
      4.8435704822708701e-03,  5.2240647899442503e-03,
      5.1343603133321243e-03,  5.3818126119621716e-03,
      5.2240647899442503e-03,  4.8868508221224377e-03,
      4.7996614634904892e-03,  5.7179083120858371e-03,
      5.6117201232891321e-03,  5.6700701716033263e-03,
      5.7179083120858371e-03,  4.9727735792746818e-03,
      5.3848863488571300e-03,  5.4305318435656936e-03,
      5.6117201232891321e-03,  5.3848863488571300e-03,
      5.1731090323620544e-03,  5.2948377822407506e-03,
      5.6700701716033263e-03,  5.4305318435656936e-03,
      5.2948377822407506e-03,  5.2191935738847518e-03,
      5.0888074222028307e-03,  5.5682241956695952e-03,
      5.5311688481500410e-03,  5.3354587343858242e-03,
      5.5682241956695952e-03,  5.1039796573406886e-03,
      5.6527375470408862e-03,  5.5776264780928323e-03,
      5.5311688481500410e-03,  5.6527375470408862e-03,
      5.1908856775166106e-03,  5.5157564883515529e-03,
      5.3354587343858242e-03,  5.5776264780928323e-03,
      5.5157564883515529e-03,  5.2868882706481306e-03,
      4.1148293948602473e-03,  4.8099243464647095e-03,
      4.8354127941843744e-03,  4.8024021654871083e-03,
      4.8099243464647095e-03,  4.3036710353764468e-03,
      4.7276148863981300e-03,  4.5819645174844182e-03,
      4.8354127941843744e-03,  4.7276148863981300e-03,
      4.3517326519376268e-03,  4.5484962243548931e-03,
      4.8024021654871083e-03,  4.5819645174844182e-03,
      4.5484962243548931e-03,  4.3552076928133352e-03,
      4.4103831260207836e-03,  4.7323280089558032e-03,
      4.6792976546604689e-03,  4.7101816275088885e-03,
      4.7323280089558032e-03,  4.4526464210458746e-03,
      4.7051812634566420e-03,  4.7775181030841720e-03,
      4.6792976546604689e-03,  4.7051812634566420e-03,
      4.4777362867795979e-03,  4.7837047168366176e-03,
      4.7101816275088885e-03,  4.7775181030841720e-03,
      4.7837047168366176e-03,  4.4818283635942383e-03,
      4.8171219099102398e-03,  5.4329072017648130e-03,
      5.5577769098679687e-03,  5.5021033559999686e-03,
      5.4329072017648130e-03,  4.9840681446863353e-03,
      5.5228366571162838e-03,  5.6998588607070494e-03,
      5.5577769098679687e-03,  5.5228366571162838e-03,
      5.0189254656526020e-03,  5.3181989951699288e-03,
      5.5021033559999686e-03,  5.6998588607070494e-03,
      5.3181989951699288e-03,  5.2634498662377308e-03,
      4.6530516200842852e-03,  5.0650394647562338e-03,
      5.2488756975870273e-03,  5.2624908207797184e-03,
      5.0650394647562338e-03,  4.6874447846501164e-03,
      5.2268492983034561e-03,  5.1745585095054458e-03,
      5.2488756975870273e-03,  5.2268492983034561e-03,
      4.7952117024116173e-03,  5.0276292129730416e-03,
      5.2624908207797184e-03,  5.1745585095054458e-03,
      5.0276292129730416e-03,  4.9122789880896404e-03,
      4.9251289238065234e-03,  5.5933241606014724e-03,
      5.3718594158626860e-03,  5.6008531360396017e-03,
      5.5933241606014724e-03,  5.0150407582346635e-03,
      5.4662584346395404e-03,  5.3675120118810739e-03,
      5.3718594158626860e-03,  5.4662584346395404e-03,
      5.0248322936143662e-03,  5.4605145072560580e-03,
      5.6008531360396017e-03,  5.3675120118810739e-03,
      5.4605145072560580e-03,  5.1143948516248604e-03,
      3.7657249048296967e-03,  3.9486926147620297e-03,
      4.0691576682980483e-03,  4.0664780157542643e-03,
      3.9486926147620297e-03,  3.7736205874903724e-03,
      4.0495831622273807e-03,  4.0206411044168824e-03,
      4.0691576682980483e-03,  4.0495831622273807e-03,
      3.7937874360149263e-03,  3.9752869288898511e-03,
      4.0664780157542643e-03,  4.0206411044168824e-03,
      3.9752869288898511e-03,  3.8149050745084684e-03,
      5.0114061217704613e-03,  5.2617991497744074e-03,
      5.1790540139945674e-03,  5.3591951134087162e-03,
      5.2617991497744074e-03,  5.0120596768805908e-03,
      5.2487154791349359e-03,  5.2629872576859908e-03,
      5.1790540139945674e-03,  5.2487154791349359e-03,
      5.0448755388764347e-03,  5.3303535417822852e-03,
      5.3591951134087162e-03,  5.2629872576859908e-03,
      5.3303535417822852e-03,  5.1174676770792023e-03,
      4.8377902633377264e-03,  5.3788546108106241e-03,
      5.6040768285432335e-03,  5.3105068959469794e-03,
      5.3788546108106241e-03,  4.9326524445286032e-03,
      5.4991607490083253e-03,  5.5655132712644469e-03,
      5.6040768285432335e-03,  5.4991607490083253e-03,
      4.9741473776001794e-03,  5.3900550171932238e-03,
      5.3105068959469794e-03,  5.5655132712644469e-03,
      5.3900550171932238e-03,  5.1950052918756442e-03,
      3.2492587714875146e-03,  3.9827109719638674e-03,
      3.8774234602011355e-03,  3.8757465280329336e-03,
      3.9827109719638674e-03,  3.4344256880305358e-03,
      4.0545162671736575e-03,  3.7835976611712702e-03,
      3.8774234602011355e-03,  4.0545162671736575e-03,
      3.4953556313526311e-03,  3.9175382918411519e-03,
      3.8757465280329336e-03,  3.7835976611712702e-03,
      3.9175382918411519e-03,  3.5756760339217433e-03,
      4.7617721014200634e-03,  4.8614225555244890e-03,
      4.8279075259455451e-03,  4.8427156866381622e-03,
      4.8614225555244890e-03,  4.8195643885916269e-03,
      4.8405369639889255e-03,  4.8156734615472999e-03,
      4.8279075259455451e-03,  4.8405369639889255e-03,
      4.8197639580753243e-03,  4.8155984576041654e-03,
      4.8427156866381622e-03,  4.8156734615472999e-03,
      4.8155984576041654e-03,  4.8158790994777771e-03,
      4.5833139216121957e-03,  5.4837863258358531e-03,
      5.5638146695959553e-03,  5.4909136024647049e-03,
      5.4837863258358531e-03,  4.8077007992908590e-03,
      5.4604862042020273e-03,  5.4396976154026198e-03,
      5.5638146695959553e-03,  5.4604862042020273e-03,
      4.8833715685529635e-03,  5.3864868915666220e-03,
      5.4909136024647049e-03,  5.4396976154026198e-03,
      5.3864868915666220e-03,  4.9933154810546838e-03,
      5.1071558319641056e-03,  5.4433074957792454e-03,
      5.5765474271101826e-03,  5.5076635863146820e-03,
      5.4433074957792454e-03,  5.1894387573805066e-03,
      5.3922841131452456e-03,  5.5390126993166908e-03,
      5.5765474271101826e-03,  5.3922841131452456e-03,
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                            -4.3172960405687657e-04, -4.4825396345361454e-04,
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                            -7.8213089400696050e-04, -2.9459056286120584e-04,
                            1.2977967295550502e-03,  -9.1823850004044442e-04,
                            -5.4312108628579527e-04, -4.4973852658337552e-04,
                            1.4589399346793047e-03,  -9.6337020175007505e-04,
                            -9.5571443993837163e-04, -4.3500741544292166e-04,
                            1.3679082255077248e-03,  -1.0456586778204123e-03,
                            -7.9689290020671321e-04, -3.6447108180251604e-04,
                            1.2192301505625884e-03,  -6.8914758742765522e-04,
                            -4.1801535483624729e-04, -5.0855084936264909e-04,
                            1.4209422098361410e-03,  -9.7982501545086425e-04,
                            -9.5383290882026508e-04, -4.0628628933239729e-04,
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                            -5.9263894588719901e-04, -3.6034174047262833e-04,
                            1.2193989165566138e-03,  -8.6362711921495882e-04,
                            -3.3089474187258407e-04, -4.7367739380385751e-04,
                            1.4454340065456679e-03,  -9.4903106726323190e-04,
                            -9.4294645768342182e-04, -4.7443129921609459e-04,
                            1.3223313806910361e-03,  -1.0793092901145601e-03,
                            -6.6527927680775072e-04, -3.2359110026424040e-04,
                            1.4973920733738924e-03,  -8.8491990550246182e-04,
                            -1.2171591571912377e-03, -3.1820729740532089e-04,
                            1.2211117894376268e-03,  -6.9737457441970436e-04,
                            -3.8056940530299850e-04, -5.5878299644200971e-04,
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                            -8.9397096134337427e-04, -3.7123677529844246e-04,
                            1.5073496738918853e-03,  -8.9914274586309299e-04,
                            -1.1100923521957767e-03, -3.9534394591372900e-04,
                            1.5389834372201414e-03,  -8.6865302431473463e-04,
                            -1.2678597357811232e-03, -2.2479040064971316e-04,
                            1.5857715616750692e-03,  -8.4802792400804413e-04,
                            -1.4431505536957709e-03, -6.5066771441232851e-05,
                            1.3040976914584432e-03,  -9.5378487842587192e-04,
                            -5.6107062491615094e-04, -4.3607781750943416e-04,
                            1.4361202688561447e-03,  -9.5224831111481809e-04,
                            -1.1297794380246147e-03, -2.6778384205976237e-04,
                            1.3635676357551174e-03,  -9.9412255599946506e-04,
                            -7.3051951765478731e-04, -4.4154800562627911e-04,
                            1.5508477502083700e-03,  -8.7939607075253085e-04,
                            -1.3561935393377267e-03, -1.2635932200992647e-04,
                            1.3977902932929805e-03,  -9.9082462373056976e-04,
                            -8.0283463213426192e-04, -4.5650787679754265e-04,
                            1.3207741731525238e-03,  -9.6358005340555517e-04,
                            -6.3085951867438014e-04, -4.3968075348902217e-04,
                            1.6252559503457818e-03,  -8.1207361624099851e-04,
                            -1.5190942898645995e-03, 3.4005528914352132e-05,
                            1.2909097015961842e-03,  -9.6864624807368213e-04,
                            -5.2347902381152912e-04, -4.3715405458455165e-04,
                            1.4001851162801044e-03,  -9.6767807815415017e-04,
                            -1.1232365779831662e-03, -2.6481040763848013e-04,
                            1.3217217954799262e-03,  -9.7991362264913690e-04,
                            -5.5341730738921137e-04, -4.8295238369989513e-04,
                            1.2640698090863750e-03,  -9.4752318346179938e-04,
                            -4.4218067665729841e-04, -4.6578091847270366e-04,
                            1.4951267809199774e-03,  -9.1642762891185319e-04,
                            -1.0214860239958733e-03, -4.6970740845900466e-04,
                            1.2841169680887078e-03,  -8.6417312011187616e-04,
                            -4.8407383177561302e-04, -5.0088996321260085e-04,
                            1.3512353593900953e-03,  -1.0439736418993391e-03,
                            -9.0759977568137897e-04, -3.0173432033581658e-04,
                            1.2345305066023997e-03,  -8.6838807328022921e-04,
                            -4.0413743732280768e-04, -4.4479537319962951e-04,
                            1.4466525287875924e-03,  -9.5170674859887969e-04,
                            -9.7973885160627201e-04, -4.3948849284228546e-04,
                            1.3725941331708027e-03,  -1.0166781230845619e-03,
                            -7.6755671498962628e-04, -4.3191896703312273e-04,
                            1.3538563227843109e-03,  -1.0199928751009691e-03,
                            -7.7442160079980896e-04, -3.8161567314677245e-04,
                            1.3859472864117407e-03,  -1.0345636883744270e-03,
                            -8.1387538504034307e-04, -4.0318758271787206e-04,
                            1.2260084446081257e-03,  -8.1329688437282478e-04,
                            -3.8608177755934897e-04, -4.6857032807702829e-04,
                            1.6004862228002157e-03,  -8.5869813229410576e-04,
                            -1.4050654852032346e-03, -9.6057664582574606e-05,
                            1.3459385533108785e-03,  -1.0014225817083209e-03,
                            -7.5445110209810162e-04, -3.6394681092073613e-04,
                            1.5802112204707694e-03,  -8.8418143184290860e-04,
                            -1.3656321230276084e-03, -9.9859855886459247e-05,
                            1.3938777586773245e-03,  -9.8734047951481258e-04,
                            -8.2208943704233193e-04, -4.0539504453435344e-04,
                            1.4360158838886581e-03,  -9.5466630949037588e-04,
                            -1.0695021763836086e-03, -3.4966385012963883e-04,
                            1.4782335719419745e-03,  -9.2096462932788139e-04,
                            -9.9386049752195902e-04, -4.9044154671578190e-04,
                            1.3242075112925250e-03,  -9.0801458127461564e-04,
                            -6.9494238580068419e-04, -4.0874412726708961e-04,
                            1.4746718485486884e-03,  -9.4454358380030991e-04,
                            -1.2097928041591858e-03, -1.9567585923707621e-04,
                            1.3680805611761193e-03,  -9.9714444979884850e-04,
                            -6.7787533895967075e-04, -4.8246661902258490e-04,
                            1.3149700282666921e-03,  -9.8943531187651343e-04,
                            -6.8955875031408869e-04, -4.0063500875313666e-04,
                            1.3856527284201953e-03,  -1.0075706013894159e-03,
                            -8.9064557198323456e-04, -3.8669351114642469e-04,
                            1.2372161408350122e-03,  -8.1355539160972760e-04,
                            -5.0496057042071407e-04, -4.0950187262171203e-04,
                            1.2788105421023745e-03,  -8.8057490788653024e-04,
                            -5.8240597405691328e-04, -3.9217722061436343e-04};
  const int nloc = 192;
  const int nnei_i = 4;
  const int nnei_j = 4;
  const int last_layer_size = 4;

  void SetUp() override {}
  void TearDown() override {}
};

TEST_F(TestTabulateSeT, tabulate_fusion_se_t_cpu) {
  std::vector<double> xyz_scatter(nloc * last_layer_size, 0);
  deepmd::tabulate_fusion_se_t_cpu<double>(&xyz_scatter[0], &table[0], &info[0],
                                           &em_x[0], &em[0], nloc, nnei_i,
                                           nnei_j, last_layer_size);
  EXPECT_EQ(xyz_scatter.size(), nloc * last_layer_size);
  EXPECT_EQ(xyz_scatter.size(), expected_xyz_scatter.size());
  for (int jj = 0; jj < xyz_scatter.size(); ++jj) {
    EXPECT_LT(fabs(xyz_scatter[jj] - expected_xyz_scatter[jj]), 1e-5);
  }
}

TEST_F(TestTabulateSeT, tabulate_fusion_se_t_grad_cpu) {
  std::vector<double> dy_dem_x(em_x.size());
  std::vector<double> dy_dem(em.size());
  deepmd::tabulate_fusion_se_t_grad_cpu<double>(
      &dy_dem_x[0], &dy_dem[0], &table[0], &info[0], &em_x[0], &em[0], &dy[0],
      nloc, nnei_i, nnei_j, last_layer_size);
  EXPECT_EQ(dy_dem_x.size(), nloc * nnei_i * nnei_j);
  EXPECT_EQ(dy_dem.size(), nloc * nnei_i * nnei_j);
  EXPECT_EQ(dy_dem_x.size(), expected_dy_dem_x.size());
  EXPECT_EQ(dy_dem.size(), expected_dy_dem.size());
  for (int jj = 0; jj < dy_dem_x.size(); ++jj) {
    EXPECT_LT(fabs(dy_dem_x[jj] - expected_dy_dem_x[jj]), 1e-5);
  }
  for (int jj = 0; jj < dy_dem.size(); ++jj) {
    EXPECT_LT(fabs(dy_dem[jj] - expected_dy_dem[jj]), 1e-5);
  }
}

#if GOOGLE_CUDA || TENSORFLOW_USE_ROCM
TEST_F(TestTabulateSeT, tabulate_fusion_se_t_gpu) {
  std::vector<double> xyz_scatter(nloc * last_layer_size, 0.0);
  double *xyz_scatter_dev = NULL, *table_dev = NULL, *em_x_dev = NULL,
         *em_dev = NULL;
  deepmd::malloc_device_memory_sync(xyz_scatter_dev, xyz_scatter);
  deepmd::malloc_device_memory_sync(table_dev, table);
  deepmd::malloc_device_memory_sync(em_x_dev, em_x);
  deepmd::malloc_device_memory_sync(em_dev, em);
  deepmd::tabulate_fusion_se_t_gpu<double>(xyz_scatter_dev, table_dev, &info[0],
                                           em_x_dev, em_dev, nloc, nnei_i,
                                           nnei_j, last_layer_size);
  // deepmd::tabulate_fusion_se_t_cpu<double>(&xyz_scatter[0], &table[0],
  // &info[0], &em_x[0], &em[0], nloc, nnei_i, nnei_j, last_layer_size);
  deepmd::memcpy_device_to_host(xyz_scatter_dev, xyz_scatter);
  deepmd::delete_device_memory(xyz_scatter_dev);
  deepmd::delete_device_memory(table_dev);
  deepmd::delete_device_memory(em_x_dev);
  deepmd::delete_device_memory(em_dev);

  EXPECT_EQ(xyz_scatter.size(), nloc * last_layer_size);
  EXPECT_EQ(xyz_scatter.size(), expected_xyz_scatter.size());
  for (int jj = 0; jj < xyz_scatter.size() / 100; ++jj) {
    EXPECT_LT(fabs(xyz_scatter[jj] - expected_xyz_scatter[jj]), 1e-5);
  }
}

TEST_F(TestTabulateSeT, tabulate_fusion_se_a_grad_gpu) {
  std::vector<double> dy_dem_x(em_x.size(), 0.0);
  std::vector<double> dy_dem(em.size(), 0.0);

  double *dy_dem_x_dev = NULL, *dy_dem_dev = NULL, *table_dev = NULL,
         *em_x_dev = NULL, *em_dev = NULL, *dy_dev = NULL;
  deepmd::malloc_device_memory_sync(dy_dem_x_dev, dy_dem_x);
  deepmd::malloc_device_memory_sync(dy_dem_dev, dy_dem);
  deepmd::malloc_device_memory_sync(table_dev, table);
  deepmd::malloc_device_memory_sync(em_x_dev, em_x);
  deepmd::malloc_device_memory_sync(em_dev, em);
  deepmd::malloc_device_memory_sync(dy_dev, dy);
  deepmd::tabulate_fusion_se_t_grad_gpu<double>(
      dy_dem_x_dev, dy_dem_dev, table_dev, &info[0], em_x_dev, em_dev, dy_dev,
      nloc, nnei_i, nnei_j, last_layer_size);
  deepmd::memcpy_device_to_host(dy_dem_x_dev, dy_dem_x);
  deepmd::memcpy_device_to_host(dy_dem_dev, dy_dem);
  deepmd::delete_device_memory(dy_dem_x_dev);
  deepmd::delete_device_memory(dy_dem_dev);
  deepmd::delete_device_memory(table_dev);
  deepmd::delete_device_memory(em_x_dev);
  deepmd::delete_device_memory(em_dev);
  deepmd::delete_device_memory(dy_dev);

  EXPECT_EQ(dy_dem_x.size(), nloc * nnei_i * nnei_j);
  EXPECT_EQ(dy_dem.size(), nloc * nnei_i * nnei_j);
  EXPECT_EQ(dy_dem_x.size(), expected_dy_dem_x.size());
  EXPECT_EQ(dy_dem.size(), expected_dy_dem.size());
  for (int jj = 0; jj < dy_dem_x.size(); ++jj) {
    EXPECT_LT(fabs(dy_dem_x[jj] - expected_dy_dem_x[jj]), 1e-5);
  }
  for (int jj = 0; jj < dy_dem.size(); ++jj) {
    EXPECT_LT(fabs(dy_dem[jj] - expected_dy_dem[jj]), 1e-5);
  }
}
#endif  // GOOGLE_CUDA || TENSORFLOW_USE_ROCM
